一类具有强阻尼和强时滞的拟线性粘弹性波动方程解的衰减估计

Uniform decay of the solution for a class of quasilinear viscoelastic wave equations with strong damping and strong delay

研究一类具有强阻尼和强时滞作用的拟线性粘弹性波动方程的初边值问题,在满足一定条件下,通过构造合适的Lyapunov泛函得到能量的衰减估计。

In this paper, we investigate the initial boundary value problem of a quasilinear viscoelastic wave equa- tion with strong damping and strong delay. Under a set of assumptions, we give the energy decay estimates using a special Lyapunov function.